Physics
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987jsp....48.1363p&link_type=abstract
Journal of Statistical Physics, Volume 48, Issue 5-6, pp. 1363-1372
Physics
3
Nonintegrability, Irreversibility, Singular Invariants, Restricted Three-Body Problem, Deterministic Chaos, Cometary Cloud
Scientific paper
A relation between nonintegrability of nonlinear dynamical systems with a continuous Fourier spectrum and irreversibility is investigated in terms of the Liealgebraic formalism. Résibois and Prigogine's singular invariants of motion play an essential role. As an application of the formalism, we solve the restricted three-body problem for the case of nearly parabolic motion of the third body. This gives a model of the motion of a comet in the solar system. The results indicate that there is (deterministic) chaos in the motion of a comet in a nearly parabolic orbit. A possible physical implication of the chaotic motion is the existence of a cometary cloud surrounding the solar system. The theoretical results are compared with numerical results, and show good agreement.
No associations
LandOfFree
The cometary cloud in the solar system and the Résibois-Prigogine singular invariants of motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The cometary cloud in the solar system and the Résibois-Prigogine singular invariants of motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The cometary cloud in the solar system and the Résibois-Prigogine singular invariants of motion will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1676298